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Finding the Third Proportional to 85,566.38 and 128,349.56

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Solution

The third proportional to 85,566.38 and 128,349.56 is: 192,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,566.38 : 128,349.56 = 128,349.56 : x
  2. Step 2: Convert to fraction form
    85,566.38/128,349.56 = 128,349.56/x
  3. Step 3: Cross multiply
    85,566.38x = 128,349.56 × 128,349.56
  4. Step 4: Simplify right side
    85,566.38x = 16,473,610,193.94
  5. Step 5: Solve for x
    x = 16,473,610,193.94/85,566.38
  6. Step 6: Final answer
    x = 192,524.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.